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Structures and regimes of shear flow in a plane cavity with translating boundaries

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Abstract

Stability of shear flow in a plane cavity whose boundaries translate in opposite directions is analyzed by solving the nonstationary Navier-Stokes equations numerically. It is shown that, depending on the Reynolds number and the cavity aspect ratioH/R, there may exist either a single-vortex, or a multi-eddy, or an intermediate flow regime with a “bridge”, all of which are stable. No oscillatory regime was found forH/L=0.1−10 and Re=1–3000.

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References

  1. A. L. Afendikov, K. I. Babenko, “On the possible appearance of self-oscillating regimes in plane Couette flow”,Dokl. Akad. Nauk SSSR, 252, No. 1, 65 (1980).

    Google Scholar 

  2. B. L. Rozhdestvenskii, I. I. Simakin and M. I. Stoinov, “Modeling of turbulent Couette flow in a plane channel” [in Russian], Preprint No. 106,Inst. Appl. Math, Moscow (1987).

  3. H. W. Ryu., D. I. Lee, “Numerical study of viscous flows in rectangular cavities with translating top and bottom walls”, Proc. 3-d Pacific Chem. Eng. Congr., Seoul, Korea, 1983, 1, 6, Seoul, (1983).

    Google Scholar 

  4. V. M. Paskonov, V. I. Polezhaev and L. A. Chudov,Numerical Modeling of Processes of Heat and Mass Transfer [in Russian], Nauka, Moscow (1984).

    Google Scholar 

  5. A. A. Samarskii,Finite-Difference Scheme Theory [in Russian], Nauka, Moscow (1977).

    Google Scholar 

  6. V. I. Polezhaev, A. I. Prostomolotov and A. I. Fedoseev, “Finite element method for viscous flows and technology application”, Finite Element News, No. 5,44 (1987).

  7. S. Ch. Atabaev, V. A. Brailovskaya, V. R. Kogan et al. “Flow of a viscous fluid in a plane cavity”, in:Transport Processes in Forced and Free Convective Flows [in Russian], Novosibirsk, (1987), p. 168.

  8. T. B. Gatski, C. E. Grosh and M. E. Rose, “A numerical study of the two-dimensional Navier-Stokes equations in vorticity-velocity variables”, J. Comput. Phys.,48, 1 (1982).

    Google Scholar 

  9. D. Z. Garbuzov, A. I. Zhmakin, E. V. Zhuravkevich et al.,Experimental and numerical studies of liquid epitaxy on a moving substrate surface [in Russian], Preprint No. 1341, Ioffe Inst. Phys. Tech., Leningrad (1989).

    Google Scholar 

  10. S. Y. Leung, N. E. Schumaker, “Simulation of slider-induced convection in horizontal LPE slider system”, J. Crystal Growth,60, 421 (1982).

    Google Scholar 

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Nizhnii Novgorod, Moscow. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 2, pp. 53–56, March–April, 1995.

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Brailovskaya, V.A., Kogan, V.R., Polezhaev, V.I. et al. Structures and regimes of shear flow in a plane cavity with translating boundaries. Fluid Dyn 30, 200–203 (1995). https://doi.org/10.1007/BF02029830

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  • DOI: https://doi.org/10.1007/BF02029830

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